from collections import defaultdict
from typing import List, Tuple, Dict


def solve(x: int, y: int, a: int) -> int:
    fromX: List[Tuple[int, int]] = []
    c: int = 0
    while 0 < x:
        fromX.append((x, c))
        x //= a
        c += 1
    fromX.append((x, c))

    def toX(n: int) -> int:
        return min(map(lambda b: abs(b[0] - n) + b[1], fromX))

    d: Dict[int, int] = defaultdict(lambda: 1e9)
    d[y] = 0
    ans: int = 1e9
    while 0 < len(d):
        tmp: Dict[int, int] = defaultdict(lambda: 1e9)
        for i, j in d.items():
            ans = min(ans, toX(i) + j)
            if i <= 1:
                continue
            k, r = i // a, i % a
            if i % a == 0:
                tmp[k] = min(tmp[k], j + 1)
            else:
                tmp[k] = min(tmp[k], j + r + 1)
                tmp[k + 1] = min(tmp[k + 1], j + (a - r) + 1)
        d = tmp
    return ans


def main():
    T = int(input())
    for _ in range(T):
        print(solve(*map(int, input().split())))


if __name__ == '__main__':
    main()